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Finding the Fourth Proportional to 3,807.50, 5,252.15 and 2,235.29

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Solution

The fourth proportional to 3,807.50, 5,252.15 and 2,235.29 is: 3,083.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.50 : 5,252.15 = 2,235.29 : x
  2. Step 2: Convert to fraction form
    3,807.50/5,252.15 = 2,235.29/x
  3. Step 3: Cross multiply
    3,807.50x = 5,252.15 × 2,235.29
  4. Step 4: Simplify right side
    3,807.50x = 11,740,078.37
  5. Step 5: Solve for x
    x = 11,740,078.37/3,807.50
  6. Step 6: Final answer
    x = 3,083.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.